2008/03/31 by Levon Tamaryan, DaeKil Park, Jin-Woo Son +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Data mining #Geometry #Interpretation (philosophy) #Mathematics #Measure (data warehouse) #Physics #Product (mathematics) #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.78.032304
published as Phys. Rev. A 78, 032304(2008)(8 pages) · 13 pages, 2 figure, will appear in PRA, many references added, new results are included, style is improved
arxiv created 2008/08/11 · openalex publication_date 2008/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give an explicit expression for the geometric measure of entanglement for three-qubit states that are linear combinations of four orthogonal product states. It turns out that the geometric measure for these states has three different expressions depending on the range of definition in parameter space. Each expression of the measure has its own geometrically meaningful interpretation. Such an interpretation allows oneself to take one step toward a complete understanding for the general properties of the entanglement measure. The states that lie on joint surfaces separating different ranges of definition, designated as shared states, seem to have particularly interesting features. The properties of the shared states are fully discussed.